Definition:Dual Elements

Definition

In the context of geometry, dual elements are types of object such that one type of object has a specific connection with the other type of object.

Plane Geometry

In the context of plane geometry, dual elements are:

straight lines, which can be defined by two points

points, which can be defined by the intersection of two straight lines.

Solid Geometry

In the context of solid geometry, dual elements are:

planes, which can be defined by two straight lines

points, which can be defined by the intersection of two straight lines.

Also see

• Definition:Plane Geometric Duality
• Definition:Solid Geometric Duality

• Definition:Dual Operations
• Definition:Dual Statements
• Principle of Duality

• Results about dual elements can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): duality: 1.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): dual theorem, elements, etc.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): duality: 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dual theorem, elements, etc.